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Finding the Fourth Proportional to 10,121.62, 13,968.93 and 6,142.90

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Solution

The fourth proportional to 10,121.62, 13,968.93 and 6,142.90 is: 8,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.62 : 13,968.93 = 6,142.90 : x
  2. Step 2: Convert to fraction form
    10,121.62/13,968.93 = 6,142.90/x
  3. Step 3: Cross multiply
    10,121.62x = 13,968.93 × 6,142.90
  4. Step 4: Simplify right side
    10,121.62x = 85,809,740.10
  5. Step 5: Solve for x
    x = 85,809,740.10/10,121.62
  6. Step 6: Final answer
    x = 8,477.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.